Allison, I am not sure I am understanding what you are saying we have the ability to do.
Do you mean there is an input on the form itself that we can change to suppress the second trigger email? And to clarify, if we are using a short form to pass along data to the long form, are you saying two records are created in our database if someone fills out the short and long forms or is that irrelevant it is just the two emails being sent?